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Let bar(a), bar(b), bar(c), bar(d) be the position vectors of A, B, C and D respectively which are the vertices of a tetrahedron. Then prove that the lines joining the vertices to the centroids of the opposite faces are concurrent. (This point is called the centroid of the tetrahedron) |
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Answer» `BAR(a)+bar(B)=bar(C)+bar(d)` |
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